Search a number
-
+
5655768 = 2331979157
BaseRepresentation
bin10101100100110011011000
3101122100020220
4111210303120
52421441033
6321120040
766034056
oct25446330
911570226
105655768
113213298
121a89020
131230411
14a731d6
1576abb3
hex564cd8

5655768 has 64 divisors (see below), whose sum is σ = 15168000. Its totient is φ = 1752192.

The previous prime is 5655757. The next prime is 5655791. The reversal of 5655768 is 8675565.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35946 + ... + 36102.

It is an arithmetic number, because the mean of its divisors is an integer number (237000).

Almost surely, 25655768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5655768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584000).

5655768 is an abundant number, since it is smaller than the sum of its proper divisors (9512232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5655768 is a wasteful number, since it uses less digits than its factorization.

5655768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The square root of 5655768 is about 2378.1858632159. The cubic root of 5655768 is about 178.1683379930.

The spelling of 5655768 in words is "five million, six hundred fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 152 157 158 228 237 314 316 456 471 474 628 632 942 948 1256 1501 1884 1896 2983 3002 3768 4503 5966 6004 8949 9006 11932 12008 12403 17898 18012 23864 24806 35796 36024 37209 49612 71592 74418 99224 148836 235657 297672 471314 706971 942628 1413942 1885256 2827884 5655768